Hi, you shouldn’t really be paying more than £600 all in from a dealer you may possibly get it done independently for around £500. Try a mini specialist (same engine as cooper S).My pug dealer did mine for £600 inc oil and filter change. Had my wife’s Mini Cooper S done at a mini specialist for £500 all in.Shop around but make sure whoever does it is a specialist with good knowledge of this engine.Suppose your going to pay a premium with being from London.Good luck keep us informed how it goes.